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Scatter Search
Scatter search (SS) is a population-based metaheuristic introduced in the late 1970s as a heuristic for integer programming problems. The main...
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Scatter Halfspace Depth: Geometric Insights
Scatter halfspace depth is a statistical tool that allows one to quantify the fitness of a candidate covariance matrix with respect to the scatter...
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Problem of Minimizing the Scatter Range of Trajectories of a Controlled Object
AbstractA minimax control problem for a quasilinear controlled object is conidered. The dynamics of the controlled object includes two types of...
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Tensor Fields for Data Extraction from Chart Images: Bar Charts and Scatter Plots
Charts are an essential part of both graphicacy (graphical literacy), and statistical literacy. As chart understanding has become increasingly...
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Bivariate Data
This chapter deals with bivariate observations, i.e., those where datapoints consist of pairs of values (x, y) of numeric (discrete or, more...
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Constant-Factor Approximation Algorithms for Some Maximin Multi-clustering Problems
We consider several problems of searching for a family of non-intersecting subsets in a finite set of points of Euclidean space. In these problems,...
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Trivariate Data
The chapter introduces different approaches for the visualization of trivariate data. Observations in this case are represented by triplets of values...
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Extension of tree balance and imbalance indices and alternative ways of measuring tree balance
The aim of this chapter is threefold: First, we show how existing tree balance or imbalance indices can be used to generate new ones. Then, we...
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Tabu Search
Tabu search is a meta-heuristic that guides a local heuristic search procedure to explore the solution space beyond local optimality. One of the main...
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A two-phase hybrid evolutionary algorithm for solving the bi-objective scheduling multiprocessor tasks on two dedicated processors
In this paper, we solve the bi-objective scheduling problem on two dedicated processors, an NP-Hard combinatorial optimization problem with a hybrid...
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Outlier Detection via a Block Diagonal Product Estimator
Outlier detection is a fundamental topic in robust statistics. Traditional outlier detection methods try to find a clean subset of given size, which...
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Approximate Algorithms for Some Maximin Clustering Problems
In this paper we consider three problems of searching for disjoint subsets among a finite set of points in an Euclidean space. In all three problems,...
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Polaron Formation Dynamics in Lithium Niobate from Massively Parallel ab-initio Simulations
Polarons influence decisively the performance of lithium niobate for optical applications. In this project, the formation of (defect) bound polarons...
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Scattering theory for the subcritical wave equation with inverse square potential
We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux...
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A Scatter Search Approach for the Facility Layout Problem with Aisle Design
This paper proposes a scatter search based approach for solving the unequal area facility layout problem with aisle areas. This novel approach...
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Accounting for non-normal distribution of input variables and their correlations in robust optimization
In this work, metamodel-based robust optimization is performed using measured scatter of noise variables. Principal component analysis is used to...
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Free boundary methods and non-scattering phenomena
We study a question arising in inverse scattering theory: given a penetrable obstacle, does there exist an incident wave that does not scatter? We...
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Scatter Search
Scatter search (SS) is a population-based metaheuristic that has been shown to yield high-quality outcomes for hard combinatorial optimization...
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Scattering and rigidity for nonlinear elastic waves
For the Cauchy problem of nonlinear elastic wave equations of three-dimensional isotropic, homogeneous and hyperelastic materials satisfying the null...